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2.9 Orthogonal functions and expansions , 44 . ... 3.8 Expansion of Green's functions in spherical coordinates , 77 . ... Multipoles , Electrostatics of Macroscopic Media , Dielectrics 4.1 Multipole expansion , 98 .
If the expansion parameter is ( aa / x2 ) , rather than a ?, the series takes on the form : 3V aar 7a25 3 Φ ( α , θ , φ ) = cos3 + 2x2 For large values of w / a this expansion converges rapidly and so is a useful representation for the ...
We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 1 = 477 ΣΣ 1 ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
TimeVarying Fields Maxwells Equations Con
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